Calabi–Yau rational curve conjecture in dimension m

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Let XX be an mm-dimensional simply connected nonsingular projective variety with trivial canonical line bundle, so XX is a Calabi–Yau manifold.

Calabi–Yau rational curve conjecture in dimension mm. The variety XX should contain a rational curve.

This is a classical conjecture about rational curves on Calabi–Yau manifolds and is used in the paper alongside abundance-type conjectures. No resolution status is supplied in the source.

References

Primary source

De-Qi Zhang, “Birational geometry in the study of dynamics of automorphisms and Brody/Mori/Lang hyperbolicity”, arXiv:1308.2997 (2013).

Additional references

2 papers in this index state this conjecture (2012–2013). The statement above is taken from the most recent of them; the others are arXiv:1207.7346.

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